ar X iv : h ep - t h / 93 10 05 4 v 2 3 F eb 1 99 4 Hilbert Spaces for Nonrelativistic and Relativistic “ Free ” Plektons ( Particles with Braid Group Statistics ) ∗
نویسندگان
چکیده
Using the theory of fibre bundles, we provide several equivalent intrinsic descriptions for the Hilbert spaces of n “free” nonrelativistic and relativistic plektons in two space dimensions. These spaces carry a ray representation of the Galilei group and a unitary representation of the Poincaré group respectively. In the relativistic case we also discuss the situation where the braid group is replaced by the ribbon braid group.
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